Swiss-Cheese Operad and Drinfeld Center

Author

N. I.

Publication

In: Israel J. Math. (2017) 221.2, pp. 941–972.

Online on

Online on July 24, 2015.

Accepted on

Accepted on January 10, 2017.

Updated on

Updated on January 10, 2017.

Full text

 Full text.

10.1007/s11856-017-1579-7

 10.1007/s11856-017-1579-7.

arXiv:1507.06844

 arXiv:1507.06844.

hal-01438863

 hal-01438863.

MR3704940

 MR3704940.

Zbl06808424

 Zbl06808424.

Abstract

We build a model in groupoids for the Swiss-Cheese operad, based on parenthesized permutations and braids, and we relate algebras over this model to the classical description of algebras over the homology of the Swiss-Cheese operad. We extend our model to a rational model for the Swiss-Cheese operad, and we compare it to the model that we would get if the operad Swiss-Cheese were formal.